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1: 29.19 Physical Applications

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§29.19(i) Lamé Functions

►Simply-periodic Lamé functions ($\nu$ noninteger) can be used to solve boundary-value problems for Laplace’s equation in elliptical cones. …

2: Bibliography D

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The principal frequencies of vibrating systems with elliptic boundaries. Quart. J. Mech. Appl. Math. 8 (3), pp. 361–372.

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Document, MathReview (M. A. Hyman), ZentralBlatt

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Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Math. Phys. Anal. Geom. 3 (1), pp. 49–74.

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ISSN 1385-0172, Document, MathReview (Giulio Soliani), ZentralBlatt

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§23.21(ii).

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Integral representations for elliptic functions. J. Math. Anal. Appl. 316 (1), pp. 142–160.

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ISSN 0022-247X, Document, MathReview Entry, ZentralBlatt

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§23.11.

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Ramanujan’s master theorem for symmetric cones. Pacific J. Math. 175 (2), pp. 447–490.

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ISSN 0030-8730, MathReview (Jacques Faraut), ZentralBlatt

Referenced by:

§35.7(ii), §35.8(iv), §35.8(v).

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The Legendre Relation for Elliptic Integrals. In Paul Halmos: Celebrating 50 Years of Mathematics, J. H. Ewing and F. W. Gehring (Eds.), pp. 305–315.

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ISBN 0-387-97509-8, MathReview (J. M. H. Peters), ZentralBlatt

Referenced by:

§19.7(i).

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3: Bibliography F

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Analysis on Symmetric Cones. Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, Oxford-New York.

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ISBN 0-19-853477-9, MathReview (Hong Ming Ding), ZentralBlatt

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§35.1, §35.4(i), §35.7(i), §35.7(iii), §35.8(i), §35.8(iv), §35.8(v), §35.8(v), Ch.35, Notations J, Notations K.

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On the reciprocal modulus relation for elliptic integrals. SIAM J. Math. Anal. 1 (4), pp. 524–526.

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Document, MathReview (B. C. Carlson), ZentralBlatt

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§19.7(i).

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Guide to tables of elliptic functions. Math. Tables and Other Aids to Computation 3 (24), pp. 229–281.

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FullText, MathReview (S. C. van Veen)

Referenced by:

§19.37(i).

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Numerical evaluation of the elliptic integral of the third kind. Math. Comp. 19 (91), pp. 494–496.

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FullText, MathReview, ZentralBlatt

Referenced by:

§19.36(iv).

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Series expansions of symmetric elliptic integrals. Math. Comp. 81 (278), pp. 957–990.

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External Links:

Document, ZentralBlatt

Referenced by:

§20.7(ii), §20.7(ii).

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